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Finding the Third Proportional to 56,946 and 133,050

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Solution

The third proportional to 56,946 and 133,050 is: 310,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,946 : 133,050 = 133,050 : x
  2. Step 2: Convert to fraction form
    56,946/133,050 = 133,050/x
  3. Step 3: Cross multiply
    56,946x = 133,050 × 133,050
  4. Step 4: Simplify right side
    56,946x = 17,702,302,500
  5. Step 5: Solve for x
    x = 17,702,302,500/56,946
  6. Step 6: Final answer
    x = 310,861.21

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.